[BUG] maps for vector calculus

Matthias Kawski kawski at asu.edu
Fri Apr 30 23:04:07 PDT 2004


Regarding "concept maps", I know them best as tools for assess-
ment -- i.e. the learner creates / draws these along the way,
or in an interview situation.

However, I would like to contribute one very old chart that I have
continued to use (this addresses one small corner of your concept
map), but w/ logical (implication) arrows connecting theorems and
definitions.

http://math.la.asu.edu/~kawski/classes/mat272/vc/stokes/slides/irrot-pot.gif

This is taken from a larger index that is still on the WWW....

http://math.la.asu.edu/~kawski/classes/mat272/vc/VCslides.html
In the navigation bar follow
--> Vector fields
--> Gradient fields & irrotational
--> Relationships

Matthias
**********************************************************
Matthias Kawski                http://math.asu.edu/~kawski
Dept. of Mathematics and Statistics         kawski at asu.edu
Arizona State University            office: (480) 965 3376
Tempe, Arizona 85287-1804           home:   (480) 893 0107
**********************************************************

On Fri, 30 Apr 2004, Martin Jackson wrote:

> ... I've done a bit of exploring and found that the map I made
> is essentially a "concept map" and that there is a whole
> industry of making concept maps.  In the "official" theory of
> concepts maps (see http://cmap.coginst.uwf.edu/info/ for
> example), each link is labeled with a verb so that one can read
> sentences in the diagram.  The link from Stokes's to Green's can
> read "reduces to special case of" and the link from Divergence
> to Planar Divergence can read "analogous to."  The link from
> curl to conservative vector field could read "test for."  I
> don't plan to include all of these labels because I think the
> result will be cluttered but I might experiment.


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